Bosonization Approach and Novel Traveling Wave Solutions of the Superfield Gardner Equation  

作　　者：Shuangte Wang[1] Hengguo Yu[1] Chuanjun Dai[1] Min Zhao[1] 

出　　处：《Journal of Applied Mathematics and Physics》2020年第3期443-455,共13页应用数学与应用物理（英文）

摘　　要：In this paper, the bosonization of the superfield Gardner equation in the case of multifermionic parameters is presented and novel traveling wave solutions are extracted from the coupled bosonic equations by using the mapping and deformation relations. In the case of two-fermionic-parameter bosonization procedure, we provide a special solution in the form of Jacobian elliptic functions. Meanwhile, we discuss and formally derive traveling wave solutions of N fermionic parameters bosonization procedure. This technique can also be applied to treat the N = 1 supersymmetry KdV and mKdV systems which are obtained in two limiting cases.In this paper, the bosonization of the superfield Gardner equation in the case of multifermionic parameters is presented and novel traveling wave solutions are extracted from the coupled bosonic equations by using the mapping and deformation relations. In the case of two-fermionic-parameter bosonization procedure, we provide a special solution in the form of Jacobian elliptic functions. Meanwhile, we discuss and formally derive traveling wave solutions of N fermionic parameters bosonization procedure. This technique can also be applied to treat the N = 1 supersymmetry KdV and mKdV systems which are obtained in two limiting cases.

关 键 词：SUPERSYMMETRY SUPERFIELD GARDNER EQUATION Bosonizaion Traveling Wave Solutions 

分 类 号：O17[理学—数学]